Question

11.) Average present age of Father, Mother and daughter is 26 years. Average age of Father and daughter five years ago is 21 years then find the age of mother after 10 years​

Answer 1

Answer:

Sum of the present age of father, mother, son and daughter is 16 × 4 = 64 years

Let, the age of the son is x

⇒ The age of the father is 5x

After 3 years age of the son will be (x + 3)

⇒ The age of the mother will be 3 × (x + 3) = (3x + 9)

⇒ The present age of the mother is (3x + 9) - 3 = (3x + 6) years

Accordingly, The age of the mother is 6 times age of the daughter

⇒ The age of the daughter is (3x + 6)/6 years

Accordingly,

x + 5x + (3x + 6) + (3x +6)/6 = 64

⇒ 6x + 30x + 18x + 36 + 3x + 6 = 64 × 6

⇒ 57x = 342

⇒ x = 6

Present age of the father is 5x = 5 × 6 = 30 years

∴ The present age of the father is 30 years.

Answer 2

Answer:

55 years, 25 years